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Proof step 10 from proof lpt-leb-size-cleanup (previous step)

(m2 = 0 ∧ lpf0 ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, m4);mklp(m2, m3, lpf0, m4)) = mklp(m, m0, lpf, m1), lpt[n] = mklp(m2, m3, lpf0, m4), m3 < m0, LEB_SIZE < m0, n < # lpt, m3 ≤ LEB_SIZE, ∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE ⊦

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 11:
(m2 = 0 ∧ lpf0 ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, m4);mklp(m2, m3, lpf0, m4)) = mklp(m, m0, lpf, m1), lpt[n] = mklp(m2, m3, lpf0, m4), m2 = 0, n < # lpt, LEB_SIZE < m0, m3 < m0, m3 ≤ LEB_SIZE, ∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE ⊦

Rule argument

fma: m2 = 0

Additional information

Used simplifier rules: ⊦ mklp(m, m0, lpf, m1) = mklp(m2, m3, lpf0, m4) ↔ m = m2 ∧ m0 = m3 ∧ lpf = lpf0 ∧ m1 = m4; (ws)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ m ≤ n → (n < m ↔ false); (s) Used formulas: m2 = 0